You should be able to find some better armour then by using the video below.
Try to max out the "Strong Back" perk mate as this will allow you to carry loads of weapons/junk etc but also allow you to "fast travel" even when you are carrying too much stuff. This is essential imo as it will allow you to pick up every piece of equipment/weapons/junk etc you find around the Commonwealth and from dead people you kill.
Then you can fast travel to places like "Good Neighbour" & "Diamond City" allowing you to trade everything you don't need for caps/ammo & fusion cores or whatever you do need or take the loads of junk back to help you fortify your settlements.
Another tip is that every time you complete a mission make sure you go to sleep on a bed/mattress first (an hour will do) before going back to Preston or whomever you have to report to as you will get slightly more XP if you're "well rested" when you complete the mission.
I wish I could "gift" you some decent weapons like you could "gift" people cars in Gran Turismo 6 as I've loads of great weapons. On that note, try to max out your "Gun Nut" perk & "Science" perk as this will allow you to modify the weapons greatly. One of my favourites is my suppressed assault rifle ~ makes for a very effective, accurate rapid fire weapon imo.